On a Fractional p&q Laplacian Problem with Critical Growth
Minimax theory and its applications, Tome 4 (2019) no. 1
We deal with a class of nonlocal problems of the type { where s , , ∆s pu u ∆s qu λur−2u uq∗ s−2u in Ω in RN Ω, < p is a parameter. Roughly speaking, when r is “large” we prove the existence of a solution for large values of λ and when r is “small” we prove the existence of infinitely many solutions for small values of λ.
Mots-clés :
Fractional Laplacians, variational methods, critical exponent
@article{MTA_2019_4_1_a0,
author = {Vincenzo Ambrosio,Teresa Isernia,Gaetano Siciliano},
title = {On a {Fractional} p&q {Laplacian} {Problem} with {Critical} {Growth}},
journal = {Minimax theory and its applications},
year = {2019},
volume = {4},
number = {1},
url = {http://geodesic.mathdoc.fr/item/MTA_2019_4_1_a0/}
}
Vincenzo Ambrosio,Teresa Isernia,Gaetano Siciliano. On a Fractional p&q Laplacian Problem with Critical Growth. Minimax theory and its applications, Tome 4 (2019) no. 1. http://geodesic.mathdoc.fr/item/MTA_2019_4_1_a0/